Vibrations of continuous systems with a general operator notation suitable for perturbative calculations
| dc.contributor.author | Pakdemirli M. | |
| dc.date.accessioned | 2025-04-10T11:18:08Z | |
| dc.date.available | 2025-04-10T11:18:08Z | |
| dc.date.issued | 2001 | |
| dc.description.abstract | The operator notation previously developed to analyze vibrations of continuous systems has been further generalized to model a system with an arbitrary number of coupled differential equations. Linear parts of the equations are expressed with an arbitrary linear differential and/or integral operators, and non-linear parts are expressed with arbitrary quadratic and cubic operators. Equations of motion are solved in their general form using the method of multiple scales, a perturbation technique. The case of primary resonances of the external excitation and one-to-one internal resonances between the natural frequencies of the equations is considered. The algorithm developed is applied to a non-linear cable vibration problem having small sag-to-span ratios. © 2001 Academic Press. | |
| dc.identifier.DOI-ID | 10.1006/jsvi.2001.3691 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14701/53199 | |
| dc.publisher | Academic Press | |
| dc.title | Vibrations of continuous systems with a general operator notation suitable for perturbative calculations | |
| dc.type | Article |